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Finding the Fourth Proportional to 8,542.42, 12,812 and 2,697.46

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Solution

The fourth proportional to 8,542.42, 12,812 and 2,697.46 is: 4,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.42 : 12,812 = 2,697.46 : x
  2. Step 2: Convert to fraction form
    8,542.42/12,812 = 2,697.46/x
  3. Step 3: Cross multiply
    8,542.42x = 12,812 × 2,697.46
  4. Step 4: Simplify right side
    8,542.42x = 34,559,857.52
  5. Step 5: Solve for x
    x = 34,559,857.52/8,542.42
  6. Step 6: Final answer
    x = 4,045.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.